Vector2.h

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/*
 This file is part of the VRender library.
 Copyright (C) 2005 Cyril Soler (Cyril.Soler@imag.fr)
 Version 1.0.0, released on June 27, 2005.

 http://artis.imag.fr/Members/Cyril.Soler/VRender

 VRender is free software; you can redistribute it and/or modify
 it under the terms of the GNU General Public License as published by
 the Free Software Foundation; either version 2 of the License, or
 (at your option) any later version.

 VRender is distributed in the hope that it will be useful,
 but WITHOUT ANY WARRANTY; without even the implied warranty of
 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 GNU General Public License for more details.

 You should have received a copy of the GNU General Public License
 along with VRender; if not, write to the Free Software Foundation, Inc.,
 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
*/

/****************************************************************************

 Copyright (C) 2002-2013 Gilles Debunne. All rights reserved.

 This file is part of the QGLViewer library version 2.4.0.

 http://www.libqglviewer.com - contact@libqglviewer.com

 This file may be used under the terms of the GNU General Public License 
 versions 2.0 or 3.0 as published by the Free Software Foundation and
 appearing in the LICENSE file included in the packaging of this file.
 In addition, as a special exception, Gilles Debunne gives you certain 
 additional rights, described in the file GPL_EXCEPTION in this package.

 libQGLViewer uses dual licensing. Commercial/proprietary software must
 purchase a libQGLViewer Commercial License.

 This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.

*****************************************************************************/

#ifndef _VRENDER_VECTOR2_H
#define _VRENDER_VECTOR2_H

#include <stdexcept>
#include <iostream>

namespace vrender
{
  class Vector3;

  class Vector2
        {
                public:
                        // ---------------------------------------------------------------------------

                        static const Vector2 inf;

                        // ---------------------------------------------------------------------------

                        Vector2 ();
                        ~Vector2 ();
                        Vector2 (const Vector2&);
                        Vector2 (const Vector3& u);
                        Vector2 (double,double);

                        // ---------------------------------------------------------------------------

                        inline double  x() const { return _xyz[0]; }
                        inline double  y() const { return _xyz[1]; }
                        inline void  setX(double r) { _xyz[0] = r; }
                        inline void  setY(double r) { _xyz[1] = r; }
                        inline void  setXY (double x,double y) { _xyz[0] = x; _xyz[1] = y; }

                        // ---------------------------------------------------------------------------

                        inline Vector2& operator= (const Vector2& u)  { _xyz[0] = u._xyz[0]; _xyz[1] = u._xyz[1]; return *this; }

                        // ---------------------------------------------------------------------------

                        friend bool operator== (const Vector2&,const Vector2&);
                        friend bool operator!= (const Vector2&,const Vector2&);

                        // ---------------------------------------------------------------------------

                        inline Vector2& operator+= (const Vector2& v)
                        {
                                _xyz[0] += v._xyz[0];
                                _xyz[1] += v._xyz[1];
                                return *this;
                        }

                        inline Vector2& operator-= (const Vector2& v)
                        {
                                _xyz[0] -= v._xyz[0];
                                _xyz[1] -= v._xyz[1];
                                return *this;
                        }

                        inline Vector2& operator*= (double f) { _xyz[0] *= f; _xyz[1] *= f; return *this;}
                        inline Vector2& operator/= (double f) { _xyz[0] /= f; _xyz[1] /= f; return *this;}

                        friend Vector2 operator- (const Vector2&);
                        static Vector2 mini(const Vector2&,const Vector2&) ;
                        static Vector2 maxi(const Vector2&,const Vector2&) ;

                        inline Vector2 operator+(const Vector2& u) const
                        {
                                return Vector2(_xyz[0]+u._xyz[0],_xyz[1]+u._xyz[1]);
                        }
                        inline Vector2 operator-(const Vector2& u) const
                        {
                                return Vector2(_xyz[0]-u._xyz[0],_xyz[1]-u._xyz[1]);
                        }

                        inline double    operator*(const Vector2& u) const
                        {
                                return _xyz[0]*u._xyz[0] + _xyz[1]*u._xyz[1] ;
                        }

                        inline double operator^(const Vector2& v) const
                        {
                                return _xyz[0]*v._xyz[1] - _xyz[1]*v._xyz[0] ;
                        }

                        Vector2 operator/ (double v) { return Vector2(_xyz[0]/v,_xyz[1]/v); }
                        Vector2 operator* (double v) { return Vector2(_xyz[0]*v,_xyz[1]*v); }

                        friend Vector2 operator* (double,const Vector2&);

                        // ---------------------------------------------------------------------------

                        double norm       () const;
                        double squareNorm () const;
                        double infNorm    () const; 

                        // ---------------------------------------------------------------------------

                        friend std::ostream& operator<< (std::ostream&,const Vector2&);

                        double  operator[] (int i) const
                        {
                                if((i < 0)||(i > 1))
                                        throw std::runtime_error("Out of bounds in Vector2::operator[]") ;

                                return _xyz[i];
                        }

                        double& operator[] (int i)
                        {
                                if((i < 0)||(i > 1))
                                        throw std::runtime_error("Out of bounds in Vector2::operator[]") ;

                                return _xyz[i];
                        }

                private:
                        double _xyz[2];  

        }; // interface of Vector2
}

#endif // _VECTOR2_H